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A comprehensive finite element method analysis indicates that the A-Jacks retain their structural integrity at hydraulically stable wave conditions.
These kernel functions are designed to satisfy the necessary requirements for stable wave propagation, uniformity of nonlocal stress and stress regularization.
An energy consumption model is developed for statically stable wave gaits in order to minimize dissipating energy for optimal feet forces distributions.
Using a routine to ensure asymptotic conservation of energy, this is confirmed by time-stepping a very steep (but stable) wave over thousands of wave-periods.
The coefficient of variation (CV = 1.85) and standard deviation (SD = 0.894) reflects the relatively stable wave energy conditions prevailing at Tamarin as compared to that of Flic-en-Flac.
In contrast to classical collocated "boundary damper" feedbacks for the neutrally stable wave equations with one end satisfying a homogeneous boundary condition, the controllers and the associated observers designed in the paper are more complex due to the open-loop instability of the plant.
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Moreover, these stable waves exist for an open (parameter-dependent) interval of wave number and period.
To identify stable waves matters because the system (2) also possesses neutral and unstable traveling waves.
(Indeed, Lemma 4.1 below shows that these are the only possibly asymptotically stable waves).
Specifically, the outgoings of these dependencies and also the condition for exciting more stable waves are discussed.
Chemical Engineering Science, in press, doi 10.1016/j.ces.2007.01.024 ], defined three regions in a wave amplitude versus length graph, namely the stable waves, the unstable waves and the drop entrainment region.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com